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Adding Substructures by Forcing

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#abstract-algebra #reference-request #set-theory #model-theory #forcing
89
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A Question Regarding Representing $\mathscr P$($\omega$) as a Digraph and CH

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#set-theory #philosophy #forcing #infinite-graphs
113
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Can somebody explain (and ideally reference) this strange use/version of the Pressing Down Lemma?

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#reference-request #set-theory #forcing
494
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Examples of Forcing in Model Theory

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#logic #set-theory #model-theory #forcing
168
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Use of Power Set in showing that the generic extension satisfies Replacement

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#set-theory #forcing
53
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Proof of lemma 15.40 in Jech

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#set-theory #forcing
153
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Arithmetic sets in a random forcing extension

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#set-theory #forcing
157
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When a forcing notion adds a Cohen forcing over $V$

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#reference-request #set-theory #forcing
168
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On the relationship between Martin's Axiom, the countable chain condition and the Knaster property

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#set-theory #order-theory #forcing
93
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Countable closed poset does not satisfy countable chain condition

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#order-theory #forcing
146
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Random reals in Kamamori's "The Higher Infinite"

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#set-theory #forcing
183
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The projection of the force F=ai+bj, where a and b are non-zero constants, in the direction of the vector w=i+j

Published on
#vector-spaces #vectors #contest-math #vector-analysis #forcing
151
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Looking into the Future within Forcing

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#set-theory #forcing
354
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Random forcing request

Published on
#reference-request #set-theory #book-recommendation #forcing
101
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$\sigma$-closed forcing notions add a $\mathbb{P}$-generic over $\mathcal{D}$?

Published on
#set-theory #forcing

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